Lapidus, Michel L. Fractal geometry and applications – an introduction to this volume. (English) Zbl 1071.28001 Lapidus, Michel L. (ed.) et al., Fractal geometry and applications: A jubilee of Benoît Mandelbrot. Analysis, number theory, and dynamical systems. In part the proceedings of a special session held during the annual meeting of the American Mathematical Society, San Diego, CA, USA, January 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3637-4/v.1; 0-8218-3292-1/set). Proceedings of Symposia in Pure Mathematics 72, Pt. 1, 1-25 (2004); further short communications and reminiscences by other authors on pages 27-63 (2004). Michel L. Lapidus, Fractal geometry and applications – an introduction to this volume (1–25); Julien Barral and Stéphane Jaffard, Cherche livre \(\dots\) et plus si affinité [Looking for a book \(\dots\) and more, if affinity] (27–29); Michael Berry, Benefiting from fractals (31–33); Marc-Olivier Coppens, Benoît Mandelbrot, wizard of science (35–37); Robert L. Devaney, Mandelbrot’s vision for mathematics (39–40); M. Maurice Dodson, Benoît Mandelbrot and York (41–42); Bertrand Duplantier, Nul n’entre ici s’il n’est géomètre [Let no one ignorant of geometry enter here] (43–45); Michael L. Frame, A decade of working with a maverick (47–49); Marc Frantz, Breakfast with Mandelbrot (51–52); Jean-Pierre Kahane, Old memories (53–54); David B. Mumford, My encounters with Benoît Mandelbrot (55–56). Laurent Nottale, Fractal geometry and the foundations of physics (57–59); Bernard Sapoval, Is randomness partially tamed by fractals? (61–62); Jean E. Taylor, On knowing Benoît Mandelbrot (63)For the entire collection see [Zbl 1055.37002]. MSC: 28-06 Proceedings, conferences, collections, etc. pertaining to measure and integration 00B30 Festschriften 28A80 Fractals 37C45 Dimension theory of smooth dynamical systems 60-06 Proceedings, conferences, collections, etc. pertaining to probability theory Keywords:fractal geometry; mathematical sources; physical sources; fractality; highly non-differentiable functions; Cantor sets and functions; Brownian motion; curves without tangent; random and deterministic fractals; strict and statistical self-similarity; fractal dimensions and measures; wavelets; random curves; random surfaces; harmonic analysis; number theory; dynamical systems; multifractals; probability and statistical physics; applications PDFBibTeX XMLCite \textit{M. L. Lapidus}, Proc. Symp. Pure Math. 72, 1--25 (2004; Zbl 1071.28001)